Least Common Multiple of 438/65, 767/8984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 438/65, 767/8984 quickly i.e. 335946 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 438/65, 767/8984 is 335946.

LCM(438/65, 767/8984) = 335946

LCM of 438/65, 767/8984

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 438/65,767/8984

Given numbers are 438/65,767/8984

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 438,767

Least Common Multiple of Numerators i.e. LCM of 438,767 is 335946.

GCF of Denominators means GCF of 65,8984 as per the given fractions.

GCF of 65,8984 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 438,767

LCM of Fractions 438/65,767/8984 is 335946

Given numbers has no common factors except 1. So, there LCM is their product i.e 335946

Least Common Multiple of 438,767 with GCF Formula

Least Common Multiple of 438,767 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 438,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,767) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(438,767) x common factors =1 x 1 = 1

LCM(438,767) = ( 438 × 767 ) / 1

LCM(438,767) = 335946 / 1

LCM(438,767) = 335946


Lets's calculate GCF of 65,8984

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 335946/1

Therefore the LCM of Fractions 438/65,767/8984 is 335946

Greatest Common Factor of 65,8984 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,8984 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 8984

List of positive integer factors of 8984 that divides 8984 without a remainder.

1,2,4,8,1123,2246,4492,8984

Greatest Common Factor

We found the factors 65,8984 . The biggest common factor number is the GCF number.
So the greatest common factor 65,8984 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 438/65, 767/8984

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 438/65, 767/8984?

Answer: LCM of Numerators as per given numbers 438/65, 767/8984 is

LCM of Numerators i.e. for 438,767 is 335946

GCF of denominators i.e. for 65,8984 is 1.

Thus, LCM of Fractions is 335946.Finally, LCM of Fractions for 438/65, 767/8984 is 335946.